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Finding the Fourth Proportional to 3,642.47, 5,026.49 and 2,049.15

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Solution

The fourth proportional to 3,642.47, 5,026.49 and 2,049.15 is: 2,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.47 : 5,026.49 = 2,049.15 : x
  2. Step 2: Convert to fraction form
    3,642.47/5,026.49 = 2,049.15/x
  3. Step 3: Cross multiply
    3,642.47x = 5,026.49 × 2,049.15
  4. Step 4: Simplify right side
    3,642.47x = 10,300,021.74
  5. Step 5: Solve for x
    x = 10,300,021.74/3,642.47
  6. Step 6: Final answer
    x = 2,827.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.